GCD of 692, 906, 318, 710 Calculator

Given Input numbers are 692, 906, 318, 710

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 692, 906, 318, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 906, 318, 710 is 2.

Therefore, GCD of numbers 692, 906, 318, 710 is 2

Given Input Data is 692, 906, 318, 710

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 710 is 2 x 5 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(692, 906) = 313476

GCD(692, 906) = ( 692 x 906 ) / 313476

GCD(692, 906) = 626952 / 313476

GCD(692, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 692, 906, 318, 710 is 2

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1. What is the GCD of 692, 906, 318, 710?

GCD of 692, 906, 318, 710 is 2

2. Where do I get the detailed procedure to find GCD of 692, 906, 318, 710?

You can find a detailed procedure to find GCD of 692, 906, 318, 710 on our page.

3. How to find GCD of 692, 906, 318, 710 on a calculator?

You can find the GCD of 692, 906, 318, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.